GLOSSARY OF TERMS FOR ECLIPSE RESEARCH


HEADINGS :- / Discovery / Details of Event / Acknowledgements / / 2nd Discovery / Lunar Eclipse June 20th, 3340BC / Lunar Eclipse Dec 14th, 3340BC / Criticisms of Solar Eclipse / New Moon Sighting Record / Interpretation of Petroglyphs & Eclipse Deduction / Delta T Overview / Lunar Acceleration Measurements / Scientific Modelling...... / Factors of Earth's Rotation........ / DU Program Compared to JPL Horizons / JPL Source Sheets / Sun & Moon Positions per JPL / Comparison of DU to JPL Reduced / Sun's Reduced Position / Doppelganger Experiment / Methodology / Criteria for Doppelganger Experiment / Doppelganger ....... Results / Summary Conclusions / Further Criticisms Raised / Weight of Evidence for Discoveries... / Implications for Neolithic Iconography Decipherment / recommendations / Webography / bibliography

2nd Discovery : 2 Lunar Eclipses in 3340 BC

Lunar Eclipse of June 20th, 3340 BC

These two eclipses are depicted as two triple concentric circle petroglyphs, on stone 19, the same stone that shows the solar eclipse.

lunar eclipse icons on Stone 19

On June 20th, at 20 :23 :59 UT , the moon arose fully eclipsed at azimuth 127° 05 mins and altitide - 00°11mins with a phase angle of 0.394°. This is just a little west of Cairn L entrance itself . It started going out of eclipse at approximately 21: 1 :59 UT. This is shown as the lowest triple concentric circle on the stone at a delta t of 104629 seconds .

lunar eclipse June 20, 3340BC Lodestar Program

Lunar eclipse of December 14th, 3340 BC

On December 14th, 2 weeks after the solar eclipse, the Neolithics witnessed the year's second lunar eclipse at 16 : 23: 59 UT at azimuth 54° 06 mins and altitude - 00° 10 mins. AS it climbed the night sky ,it went deep red at approximately 12 ° altitude at a Deltat time of 104608 seconds.

lunar eclipse Dec 14, 3340BC Lodestar Program

For this reason I believe the Neolithics inserted these two eclipses in a symbolic spatial relationship with the December one being the highest engraved on the eclipse stone. You can readily surmise that the surface of the affronting stone basin, underneath of which the charred remains of the previous sacrifice were entombed, represents a symbolic horizon line and therefore the lunar petroglyphs are shown cleverly spaced. As I'm coming to notice the Neolithics appeared to work stones in composities attempting to house as much information in fragmented "collage" scenes to bear witness to events of a celestial nature or otherwise. Since this site is the oldest lunar eclipse tracking complex (older than Stonehenge Phase One 3010 BC - 2950 BC) its not unreasonable for these peoples to carve this stone in such a reverant way.

Criticisms of Eclipse Offered and Answered

In attempting to get people noticed on this event I received some very interesting criticism from various individuals both professional and amateur. essentially, they were broken down into two main areas and opinions on interpretation. One concerning whether the Neolithics had such sharp eyesight that they could see the rising moon ahead of the sun on the eclipse day. and delta t. Lets take the first one first, that's the easier of the two.

20/20 vision, Stone 20 and New Moon sighting Record

It was the president of the Irish Astronomical Association, Terry Mozel, who showed convincingly that it was impossible to have seen the rising New Moon(technically waning cresent, 5 hours from new phase) on the eclipse day.This has to do with atmospherics, refraction of light, the moon having such a thin filament of albedo to it that the Neolithics could not possibly have seen it above the horizon at that position. The world record for the first sighting of a New Moon is 17 hours before New Moon phase begins. Even if there was thin cloud cover over the sun this would still not diminsh the fact that they could not have seen it. We all agreed with this.

In agreeing as such we opened up another fascinatiing idea, which Terry pointed out, appeared to make the Neolithics possess 'sophisticated' knowledge of heavenly movements. Notice I place the precautionary word in quotes. This meant 2 possibilities could have taken place, either the neolithics had already observed the PREVIOUS day's (Nov 29th) moon come up the horizon, remembered that it happened and ESTIMATED where it would be in the sky the next day (eclipse day)!! That strongly implies that they would have to have roughly observed and somehow recorded the spatial position, say in clay, of the sun and moon over a long time and were lying in wait to see something prior to its occurance. This moon on the Nov 30th was repeated almost to the same position exactly 19years prior (3359BC) to that and again at 3378 BC. Could they have anticipated the workings of the Metonic cycle before Meton 'rediscovered ' it.That is an interesting area for study.

Or the other possibility is that they inserted the moon for Nov 29th ,prior day, on the stone 20 after the eclipse occurred without prior knowledge of its Metonic tracking in the sky and noted that the moon was getting close to the sun, maybe an eclipse ahead!! I've accounted for all the symbol representations (personal interpretation) on that stone 20 and cannot account for it occurring in a different way. The spiral has been interpreted by others (Brennan) as a moon symbol and the stone itself, to me at least, is evidence of a Neolithic way of 'engraved composites'

So how could they possibly have kept track of the 19 years of the Metonic cycle. It presupposes that they stumbled across this by tracking something else. As mentioned above it is suggestive of 'sophisticated' knowledge but a methodogy I'm going to mention now refutes that idea. I believe the tracking was far simplier than imagined. Firstly they had to overcome the inclement weather.On the loughcrew complex there is only one cairn that tracks the sun over the equinoxes. All they had to do was record the occurance of the sun streaming into cairn T across the hilltop every two equinox periods per year. in fact the equinox may have been their 'solar calendar'. It appears that they delibrately widened the passageways of both Cairn T and L to facilitate this. That took care of the weather problem. So how did they record? What came to light for me was the occurance and reoccurance of mysterious stone spheres, almost perfectly round composed of syenite,chalk, granite and various other stone types. These were unearthed inside the megalithic cairns across Ireland. Nobody has been adequately able to understand what they were for. Simply drop a sphere of a particular stone type and surface marking into a recess inside the cairn chamber for each equinox occurance. You could drop one sphere to represent one occurance of the sun's rays and other spheres to represent the number of days the sun streamed in during the equinox period. Let's say its one per equinox period, that's 38 over a nineteen year Metonic period. That took care of the time reckoning to approximately Mid October in 3340 BC. They then simply observed the sun cutting the horizon from cairns T to L until the sun streamed into cairn L. The moon, at night , would also have cut the horizon in various phases. When it became obvious that the rising moon was happening closer and closer to dawn and the sun was getting closer to it (moon) then they paid attention.

That's simply one idea, other researchers might have a different tack on it. It certainly gives a purpose to the spheres discovered and their different sizes, markings etc.

Interpretation of Petroglyphs and Eclipse Deduction

There appear to be no written records left by the Neolithics but they recorded , on stone, a richly decorative symbolic 'art' form. When I first took a picture of Stone 19 inside Cairn L I had a level of astronomy behind me but anybody with a rudimentary knowledge of astronomy and having seen pictures of solar eclipses , or even witnessed one, would easily make the association with the engraving being at least some sort of partial eclipse. This is because the part of the concentric circles hidden behind another set of concentric circles lends credence to this idea. The position of the stone in a right hand recess and guarded by a blue limestone pillar upon which sunlight strikes two periods a year, also gives a sense of importance to the engraving as a focal point of the cairn interior. Stone 19 is the most richly decorated stone inside cairn L and its association to the sun comes through it being backlit every two periods a year. The whole sequence of the sun hitting the pillar and its rays moving to stone 17 highlighting the recess gives an indication of a process being enacted through symbolism. Interpreting symbols on stones is of course sometimes difficult without the use of a 'dictionary' to go with it. Even so, others have used their asthetic eye to infer such interpretations based on personal beliefs or similiar occurances with symbolism in different parts of the world. Naturally , if you have an event in time, say an eclipse which helps to strenghten that idea then maybe there is a way to bulld up a 'dictionary' of sorts. Admittedly interpretations can be highly subjective, even in ancient writing systems, but we cannot ask the engraver what they meant, if anything, by the symbolism used. My own intpretation is just that, a personal one and others are free to offer alternatives. But using the eclipse to add to this interpretation allows me to build up what I call 'Keyword Symbolism' and this allows me to interpret further into the symbolism used. Essentially any writing system is itself a symbolism with a speciific set of rules for meaning. In this way setting up 'keywords' help further that idea. But this eclipse also helps me see how the Neolithics used their material medium ,stone, to house fragments of events, some celestial, and possibly some mundane or earthly in nature to convey to their descendants, what is in essence, a form of communication over time. It is interesting that others can have equally valid reasons for choosing different meanings from the engraving, and others have attempted to do so. i.e the Australian Engineer, N.L.Thomas(Neolithic Symbols of 3500BC), Martin Brennan, an artist,and Dr Muiris O'Sullivan of University College Dublin. Dr. O'Sullivan's interpretation bears noting here as he proposes that these ancient ancestors were under the influence of hallucinagenic drugs, herbs etc and engraved their stones with 'psychedlic' meaning. When I think about the occurance of the sunlight sequence, its hard to imagine that this would occur some 200,000 times between 3340BC and now. It indicates that maybe a message was being attempted to be transmitted across time and/or it marked the occasion of a memorial to the sacrificial victims of this eclipse event where the living community then paid their respects to their dead relatives under the auspices of their leaders. Human nature being what it is, this would be akin to anybody visiting say, the world war memorials. They visit to commenorate and to pay their respects. Perhaps it was a great honour to be choosen as a sacrificial victim but that is speculation, nonetheless.

DELTA T OVERVIEW

Users of planitarium programs are probably wondering why their program will not show this eclipse.At the moment I can find two other programs that show this eclipse where it should be, geographically. These are Skymap 3.2, default settings and Lodestar Pro GS , a MS-DOS based program which shows a beautiful rendition by the manipulation of something called a Delta T program (more about that further on and how to see the eclipse through the Lodestar program). There are many commercial programs on the market with various degrees of accuracy to choose from. The makeup of a program generically should consist of a theory of planetary orbits (i.e. Sun and other planets), a theory for stellar positions, a theory of lunar motion and a Delta T component formula. These theories should be itemized in the program's documentation. For the theory of planetary motion you can use various subsets of VSOP87 produced by Pierre Bretagnon and G. Francou. For the Moon or lunar theory the current crop of theories consists of the ELP 2000 series. Delta T can be considered as a small theory of lunar motion which is tacked onto the position and orbit of the moon after the main ELP2000 series theory is applied. With these various theories there is a specific measure of lunar orbital acceleration((n-dot) --a combination of solar acceleration(c') and lunar acceleration(c)AKA Lunar Acceleration Parameter(LAP) ) to be also applied to the moon's position. Essentially these theories set up the positions of the various planets and stars you see whenever you change the date on your program. For instance the DIGITAL UNIVERSE edition that I have (V2.30) has the VSOP87 subset D for the planetary theory of motion; the ELP2000 -85 series produced by Michelle Chapront-Touze and Jean Chapront(1988 or 1991 edition) for the lunar theory of motion and the Delta T formula of Stephenson & Houlden (1986 edition). The lunar orbital acceleration(n-dot) which, was first intimated by Edmund Halley in 1695, is set in your program and governed by the ELP2000 series theory of lunar motion and the Delta T formula. In the Digital Universe the lunar orbital acceleration for the ELP 2000- 85 series (1988 or 1991) is set at -23.8946 arcseconds per Julian century squared (i.e. notation -23.8946"/cy²) In some literature the superscript will appear as a minus 2. For the Delta t formula we have -26.0000"/cy².The programmer can mix and match lunar motion theories and Delta T formulae regardless of the mix in lunar orbital acceleration. The Skymap version 3.2 program has the same theories along with the same subset of the VSOP87 theory of planetary motion which gives a difference of approximately 2 - 12 arcseconds between the two programs on the horizon co ordinate system (altitude and azimuth) when you compare them. Therefore the lunar theory (ELP 2000 series) will give you the penultimate position and orbit of the Moon. The sticky point comes over the application of any Delta T program. THE RATE OF ROTATION OF THE EARTH IS ERRATIC, UNPREDICTABLE. The earth rotates about its axis and wobbles about at the poles. We know that each day's rotation gives us a 24 hour period. However in 1955 atomic clocks were introduced to help with precise measurements prior to the space race program. These clocks measure the frequency of an atom of Caesium 133 (radioactive material) to very precise and fine measurements. It soon became apparent that there was a slight difference between the rotational 'clock'(UT =Universal Time) and these atomic ones (DT= Dynamic Time). That difference is very very tiny in one day but when you go backwards in time over millennia the accumulation of this 'clock error' builds up. Another name for this is 'discrepancy in time'. The question is by how much does this 'clock error' measure back in time. As mentioned above in capital letters the rotation of the earth is unpredictable and is governed by many interacting and sometimes opposing forces. Therefore the measure of Delta T can only be ascertained by direct or indirect means i.e. empirically. Eclipses are used to measure or get more precisely ' a snapshot' over time of the 'clock error'. This becomes problematic the further you go back in time. For example , the lunar orbital acceleration (n-dot) measurement uses the following media of empirical means.

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LUNAR ORBITAL ACCELERATION MEASUREMENTS, DIRECT AND INDIRECT

The only direct measurements of the lunar orbital acceleration(n-dot) come from two sources lunar lazer ranging, placed on the moon by the Apollo astronauts in 1969AD and the perturbation of artificial satellities measured by Christodoulidis et al. in 1988AD.

DIRECT MEASUREMENTS

LAZER RANGING gives the following value (Williams et al. 1992) (-25.9 ± 0.5" cy²)

ARTIFICIAL SATELLITESgives the value (Christodoulidis et al. 1988) (-25.27 ± 0.61" cy²) &(Williams & Dickey 2003) (- 25.7" cy²).

This accounts for only an 18 year measurement ;if you go back to say 5000 years that's only 3.6% of the possible measurement back in time.

INDIRECT MEASUREMENTS :

These consists of two broad areas, lunar occultations by stars/ transits of Mercury AND eclipses.

LUNAR OCCULTATIONS /TRANSITS OF MERCURY :

The astronomer Spencer Jones in 1939 made measurements of transits and occultations between the years 1677 - 1927 AD for a volume approaching 45,000 .He derived a lunar acceleration of (-22.44" cy².)

Professors Morrison and Ward re-evaluated Spenser's work in 1975 because by that time the atomic clocks could be used to get more of an accurate assessment. For the period of between 1673 to 1973 AD they got (-26 ± 2" cy²) for a volume of approximately 53,045 measurements.

This means that over a 5000 year period again we get only a 5.8% measurement over time.
.(NOTE 1)

ECLIPSES :

The most amount of eclipses so far measured is approximately 500 out of a possible 11639 between the periods 700BC and 1620 AD that gives us 4.2% over a 2320 year time span or a 1.94% over 5000 years to 3380BC .

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You can see how small each percentage is for any direct or indirect measurement of lunar orbital acceleration. With eclipses the available data is strung out over time with obviously the sparseness the further you go back in epoch. In fact most of the measured eclipses occur in the year range 700BC to 1620AD. These have been measured , one way, by Professors Francis Stephenson and Leslie Morrison in 1995 and subsequently in 1997 when a small batch of Chinese eclipses(20) were added to their dataset.(NOTE 2) Because of the recent measurements, Stephenson and Morrison opted to choose a lunar orbital acceleration of -26.0000 cy² for their model in the absence of other measurements back in time. From about 1950 onwards various Delta T formulae both quadratic and polynominal were used to be incorporated in various commercial planetaria packages. The range and choice was up to the programmer to use and place within the software. This is why some users of software cannot see this eclipse where it SHOULD be . These formulae are simple mathematical components that have part of their variables assigned to a specific lunar orbital acceleration. You can see these formulae and how they were derived by going to www.phys.uu.nl/~vgent/astro/deltatime.htm (Rob Gent's site) and seeing how the lunar orbital acceleration measurement(n-dot) (AKA LAP -Lunar Acceleration Parameter) is used and how variating the formulae can be. What the formulae do within any program is give you a final position and orbit for the moon. If your program does not have the same theory of lunar motion AND the same delta t formula as the DU you may not see this eclipse in totality or you may see it as a partial eclipse or not at all!!!. Some astute programmers realised that there was no definitive Delta T formula that would give their program the needed accuracy so they opted to place an override whereby the user could enter in specific values in a box so the program could get the moon's position by the user and not the default polynominal or quadratic formula. The Digital universe is one of a few programs that does that and thereby produces a variable Delta T input from the user. Lodestar Pro GS V1.02 from Wayne Annula also does this.

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FOR LODESTAR PRO GS USERS : TO ACQUIRE 3340BC ECLIPSE

Start your program and pick a new file.

click PARAMS drop down menu and choose EPOCH.

In the Epoch box enter in the following data CALENDAR = Julian BC.

set TIME MODE to Standard and Delta T to USER SPECIFIC , a box will open under the heading USER DELTA T : enter +104610

Enter in TIME ZONE + 00 00

In the LOCAL DATE enter 11 30 3340, LOCAL TIME enter 16 04 07.0

PLOT MODE IS Snapshot and PLOT INTERVAL 0000 00 00 40 SECONDS .ACCEPT these settings

In PARAMS choose LOCATION Enter LONGITUDE 007 07 57 W LATITUDE 53 44 39 N

ELEVATION Enter 790 as feet; TEMP 10 ; PRESSURE 1010 ,ACCEPT these settings

PARAMS AGAIN choose FIELD and enter field size 000 040 00 (for minutes)ACCEPT THIS

PARAMS YET AGAIN ! choose COORDINATES and REFRACTED TOPOCENTRIC , accept this

PARAMS (how did you know?) choose OBJECTS and make sure solar system bodies, sky colors and horizon are checked ON, accept this.

PARAMS (for the last time) choose NAMES and make sure solar system bodies names is checked ON ; HIT 'OK PLOT' BUTTON

NOW you have a pic, hopefully of Sun and Moon at almost full annularity, the horizon line is slanted at a 45 degree angle, from the top right to bottom left of your image, to this eclipse so you can readily see the South limb of Sun is close to being broken. If your getting a near eclipse check above settings and adjust with time increments of 40 seconds or so. Alternatively, you could set the solar eclipse tracker at the Delta T value above and arrive at this eclipse by that means. That will show you contacts, 1,2,3 and 4 of eclipse, ratio of magnitude and sun's disk obscured. annular eclipse 3340BC Lodestar program

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In fact for example if you are a DU Mac user you can experiment with Delta T by firstly going into the SETTINGS MENU ,picking a date and time, say -2000(2000BC),Jan 1st 12:00:00 UT ;in the epoch box place in capitals the word between these quotes 'DATE', press the Delta T estimate button you should get the following value 54148.6 in seconds (if you get something different please let me know) .In the LOCK ONTO radio buttons pick OBJECT and a window opens up to your right choose MOON . Click OK to dismiss this window. Now you have the Moon centred on your screen. Take a note of its altitude and azimuth . Now go back to the TIME SETTINGS MENU again and change one thing. Place your cursor over the Delta T box and change the value 54148.6 to say 154148.6 an increase of 100,000 Delta T seconds ;DO NOT HIT THE ESTIMATE BUTTON OTHERWISE THE DEFAULT FORMULA WILL REPLACE YOUR VALUE. Simply click OK to dismiss window. Now check Moon's position notice the altitude and azimuth have changed somewhat. This is how Delta T operates. The arguement arises over how much should the Delta T be increased or decreased to give a correct value. Since the earth's rotation is erratic and the only measurements back in time are eclipses the problem comes one of deciding which Delta t formula will give you a position over time.




Copyright © Paul Griffin 2002,2003